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Comparing homotopy categories
Published online by Cambridge University Press: 30 November 2007
Abstract
Given a suitable functor T : → between model categories, we define a long exact sequence relating the homotopy groups of any X ε with those of TX, and use this to describe an obstruction theory for lifting an object G ε to . Examples include finding spaces with given homology or homotopy groups.
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- Copyright © ISOPP 2008
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